Geometry / Mr. Hansen
10/26/2004

Name: _________________________

Yet Another Proof Problem Based on Chapter 3

This 2-column proof is a little harder, but I think you can still do it. At the end, there is a difficult “ultra bonus” proof that you should probably ignore for now.

Given:

Ð2 @ Ð3

WV = 2WZ

Prove:

 

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ULTRA BONUS: Prove that Ð6 is uniquely determined by the givens, and compute mÐ6 to the nearest ten-thousandth.

(Warning: The Ultra Bonus requires skills from both trigonometry and precalculus. Clearly, this is not a suitable problem for most Third Formers. However, the first student of mine who can solve the Ultra Bonus before Memorial Day, 2005, will earn enough ultra bonus points to make the exercise worthwhile, provided he can defend the solution in front of me in an oral examination.)